Least Common Multiple of 7933 and 7938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7933 and 7938 the smallest integer that is 62972154 that is divisible by both numbers.

Least Common Multiple (LCM) of 7933 and 7938 is 62972154.

LCM(7933,7938) = 62972154

LCM of 7933 and 7938

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7933 and 7938

LCM of 7933 and 7938 is 62972154

Least common multiple can be found by multiplying the highest exponent prime factors of 7933 and 7938. First we will calculate the prime factors of 7933 and 7938.

Prime Factorization of 7933


7933 7933
1

Prime factors of 7933 are 7933. Prime factorization of 7933 in exponential form is:

7933 = 79331

Prime Factorization of 7938


2 7938
3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 7938 are 2, 3,7. Prime factorization of 7938 in exponential form is:

7938 = 21×34×72

Now multiplying the highest exponent prime factors to calculate the LCM of 7933 and 7938.

LCM(7933,7938) = 21×34×72×79331
LCM(7933,7938) = 62972154

Factors of 7933

List of positive integer factors of 7933 that divides 7933 without a remainder.

1, 7933

Factors of 7938

List of positive integer factors of 7938 that divides 7938 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938

Least Common Multiple of 7933 and 7938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7933 and 7938, than apply into the LCM equation.

GCF(7933,7938) = 1
LCM(7933,7938) = ( 7933 × 7938) / 1
LCM(7933,7938) = 62972154 / 1
LCM(7933,7938) = 62972154

Properties of LCM 7933 and 7938

(i) The LCM of 7938 and 7933 is associative

LCM of 7933 and 7938 = LCM of 7938 and 7933

Related Least Common Multiples of 7933

Related Least Common Multiples of 7938

Frequently Asked Questions on LCM of 7933 and 7938

1. What is the LCM of 7933 and 7938?

Answer: LCM of 7933 and 7938 is 62972154.

2. What are the Factors of 7933?

Answer: Factors of 7933 are 1, 7933. There are 2 integers that are factors of 7933. The greatest factor of 7933 is 7933.

3. What are the Factors of 7938?

Answer: Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938. There are 30 integers that are factors of 7938. The greatest factor of 7938 is 7938.

4. How to Find the LCM of 7933 and 7938?

Answer:

Least Common Multiple of 7933 and 7938 = 62972154

Step 1: Find the prime factorization of 7933

7933 = 7933

Step 2: Find the prime factorization of 7938

7938 = 2 x 3 x 3 x 3 x 3 x 7 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 62972154 = 2 x 3 x 3 x 3 x 3 x 7 x 7 x 7933

Step 4: Therefore, the least common multiple of 7933 and 7938 is 62972154.